Question 1209552
<br>
{{{x=sqrt(19+8sqrt(3))=sqrt(16+8sqrt(3)+3)=4+sqrt(3)}}}<br>
{{{x^4-6x^3-2x^2+18x+23=10}}}<br>
(I used a calculator to evaluate that one...!)<br>
{{{x^2-8x+15=(x-5)(x-3)=(sqrt(3)-1)(sqrt(3)+1)=(3-1)=2}}}<br>
{{{(x^4-6x^3-2x^2+18x+23)/(x^2-8x+15)=10/2=5}}}<br>
ANSWER: 5<br>